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Midsphere Radius of Rhombicosidodecahedron given Total Surface Area Formula

GoMidsphere Radius of Rhombicosidodecahedron Formula

GoMidsphere Radius of Rhombicosidodecahedron given Volume Formula

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Midsphere Radius of Rhombicosidodecahedron is the radius of the sphere for which all the edges of the Rhombicosidodecahedron become a tangent line on that sphere. Check FAQs

r m = \frac{\sqrt{10 + (4 \cdot \sqrt{5})}}{2} \cdot \sqrt{\frac{TSA}{30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}}

r_m - Midsphere Radius of Rhombicosidodecahedron?TSA - Total Surface Area of Rhombicosidodecahedron?

Midsphere Radius of Rhombicosidodecahedron given Total Surface Area Example

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Here is how the Midsphere Radius of Rhombicosidodecahedron given Total Surface Area equation looks like with Values.

Here is how the Midsphere Radius of Rhombicosidodecahedron given Total Surface Area equation looks like with Units.

Here is how the Midsphere Radius of Rhombicosidodecahedron given Total Surface Area equation looks like.

21.7063 = \frac{\sqrt{10 + (4 \cdot \sqrt{5})}}{2} \cdot \sqrt{\frac{5900}{30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}}

21.7063m = \frac{\sqrt{10 + (4 \cdot \sqrt{5})}}{2} \cdot \sqrt{\frac{5900m²}{30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}}

21.7063 = \frac{\sqrt{10 + (4 \cdot \sqrt{5})}}{2} \cdot \sqrt{\frac{5900}{30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}}

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Midsphere Radius of Rhombicosidodecahedron given Total Surface Area Solution

Follow our step by step solution on how to calculate Midsphere Radius of Rhombicosidodecahedron given Total Surface Area?

FIRST Step Consider the formula

r m = \frac{\sqrt{10 + (4 \cdot \sqrt{5})}}{2} \cdot \sqrt{\frac{TSA}{30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}}

Next Step Substitute values of Variables

∴

r m = \frac{\sqrt{10 + (4 \cdot \sqrt{5})}}{2} \cdot \sqrt{\frac{5900m²}{30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}}

Next Step Prepare to Evaluate

∴

r m = \frac{\sqrt{10 + (4 \cdot \sqrt{5})}}{2} \cdot \sqrt{\frac{5900}{30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}}

Next Step Evaluate

∴

r m = 21.7062957313128m

LAST Step Rounding Answer

∴

r m = 21.7063m

Midsphere Radius of Rhombicosidodecahedron given Total Surface Area Formula Elements

Variables

Functions

Midsphere Radius of Rhombicosidodecahedron

Midsphere Radius of Rhombicosidodecahedron is the radius of the sphere for which all the edges of the Rhombicosidodecahedron become a tangent line on that sphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere Radius of Rhombicosidodecahedron

Total Surface Area of Rhombicosidodecahedron

Total Surface Area of Rhombicosidodecahedron is the total quantity of plane enclosed by the entire surface of the of the Rhombicosidodecahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Rhombicosidodecahedron

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Midsphere Radius of Rhombicosidodecahedron

Go Midsphere Radius of Rhombicosidodecahedron

r m = \frac{\sqrt{10 + (4 \cdot \sqrt{5})}}{2} \cdot l e

Go Midsphere Radius of Rhombicosidodecahedron given Volume

r m = \frac{\sqrt{10 + (4 \cdot \sqrt{5})}}{2} \cdot {(\frac{3 \cdot V}{60 + (29 \cdot \sqrt{5})})}^{\frac{1}{3}}

Go Midsphere Radius of Rhombicosidodecahedron given Circumsphere Radius

r m = \sqrt{10 + (4 \cdot \sqrt{5})} \cdot \frac{r c}{\sqrt{11 + (4 \cdot \sqrt{5})}}

Go Midsphere Radius of Rhombicosidodecahedron given Surface to Volume Ratio

r m = \frac{\sqrt{10 + (4 \cdot \sqrt{5})}}{2} \cdot \frac{3 \cdot (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{R A/V \cdot (60 + (29 \cdot \sqrt{5}))}

How to Evaluate Midsphere Radius of Rhombicosidodecahedron given Total Surface Area?

Midsphere Radius of Rhombicosidodecahedron given Total Surface Area evaluator uses Midsphere Radius of Rhombicosidodecahedron = sqrt(10+(4*sqrt(5)))/2*sqrt(Total Surface Area of Rhombicosidodecahedron/(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))) to evaluate the Midsphere Radius of Rhombicosidodecahedron, Midsphere Radius of Rhombicosidodecahedron given Total Surface Area formula is defined as the radius of the sphere for which all the edges of the Rhombicosidodecahedron become a tangent line on that sphere, and calculated using the total surface area of the Rhombicosidodecahedron. Midsphere Radius of Rhombicosidodecahedron is denoted by r_m symbol.

How to evaluate Midsphere Radius of Rhombicosidodecahedron given Total Surface Area using this online evaluator? To use this online evaluator for Midsphere Radius of Rhombicosidodecahedron given Total Surface Area, enter Total Surface Area of Rhombicosidodecahedron (TSA) and hit the calculate button.

FAQs on Midsphere Radius of Rhombicosidodecahedron given Total Surface Area

What is the formula to find Midsphere Radius of Rhombicosidodecahedron given Total Surface Area?

The formula of Midsphere Radius of Rhombicosidodecahedron given Total Surface Area is expressed as Midsphere Radius of Rhombicosidodecahedron = sqrt(10+(4*sqrt(5)))/2*sqrt(Total Surface Area of Rhombicosidodecahedron/(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))). Here is an example- 21.7063 = sqrt(10+(4*sqrt(5)))/2*sqrt(5900/(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))).

How to calculate Midsphere Radius of Rhombicosidodecahedron given Total Surface Area?

With Total Surface Area of Rhombicosidodecahedron (TSA) we can find Midsphere Radius of Rhombicosidodecahedron given Total Surface Area using the formula - Midsphere Radius of Rhombicosidodecahedron = sqrt(10+(4*sqrt(5)))/2*sqrt(Total Surface Area of Rhombicosidodecahedron/(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Midsphere Radius of Rhombicosidodecahedron?

Here are the different ways to Calculate Midsphere Radius of Rhombicosidodecahedron-

Midsphere Radius of Rhombicosidodecahedron=sqrt(10+(4*sqrt(5)))/2*Edge Length of Rhombicosidodecahedron
Midsphere Radius of Rhombicosidodecahedron=sqrt(10+(4*sqrt(5)))/2*((3*Volume of Rhombicosidodecahedron)/(60+(29*sqrt(5))))^(1/3)
Midsphere Radius of Rhombicosidodecahedron=sqrt(10+(4*sqrt(5)))*Circumsphere Radius of Rhombicosidodecahedron/(sqrt(11+(4*sqrt(5))))

Can the Midsphere Radius of Rhombicosidodecahedron given Total Surface Area be negative?

No, the Midsphere Radius of Rhombicosidodecahedron given Total Surface Area, measured in Length cannot be negative.

Which unit is used to measure Midsphere Radius of Rhombicosidodecahedron given Total Surface Area?

Midsphere Radius of Rhombicosidodecahedron given Total Surface Area is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Midsphere Radius of Rhombicosidodecahedron given Total Surface Area can be measured.

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